Geometry of Surfaces

Ronald L. Lipsman () and Jonathan M. Rosenberg
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Ronald L. Lipsman: University of Maryland, Department of Mathematics
Jonathan M. Rosenberg: University of Maryland, Department of Mathematics

Chapter Chapter 6 in Multivariable Calculus with MATLAB®, 2017, pp 95-121 from Springer

Abstract: Abstract Just as a curve is (at least locally) the image of a continuous function from an interval in $${\mathbb {R}}$$ R to $${\mathbb {R}}^3$$ R 3 , a surface is (at least locally) the imageSurface of a continuous function from a domain in $${\mathbb {R}}^2$$ R 2 to $${\mathbb {R}}^3$$ R 3 . We shall carry out a program for surfaces in space similar to our study of curves in Chapter 3.

Keywords: Monge Patch; Monkey Saddle; Tangent Plane; Shape Operator; Smooth Patches (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-65070-8_6

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